What is the Greatest Common Factor of 47214 and 47225?

Greatest common factor (GCF) of 47214 and 47225 is 1.

GCF(47214,47225) = 1

We will now calculate the prime factors of 47214 and 47225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47214 and 47225.

How to find the GCF of 47214 and 47225?

We will first find the prime factorization of 47214 and 47225. After we will calculate the factors of 47214 and 47225 and find the biggest common factor number .

Step-1: Prime Factorization of 47214

Prime factors of 47214 are 2, 3, 43, 61. Prime factorization of 47214 in exponential form is:

47214 = 2¹ × 3² × 43¹ × 61¹

Step-2: Prime Factorization of 47225

Prime factors of 47225 are 5, 1889. Prime factorization of 47225 in exponential form is:

47225 = 5² × 1889¹

Step-3: Factors of 47214

List of positive integer factors of 47214 that divides 47214 without a remainder.

1, 2, 3, 6, 9, 18, 43, 61, 86, 122, 129, 183, 258, 366, 387, 549, 774, 1098, 2623, 5246, 7869, 15738, 23607

Step-4: Factors of 47225

List of positive integer factors of 47225 that divides 47214 without a remainder.

1, 5, 25, 1889, 9445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47214 and 47225. The biggest common factor number is the GCF number.
So the greatest common factor 47214 and 47225 is 1.

Also check out the Least Common Multiple of 47214 and 47225